{"id":263,"date":"2021-01-26T22:33:02","date_gmt":"2021-01-26T22:33:02","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-managerialaccounting\/?post_type=chapter&#038;p=263"},"modified":"2021-05-23T01:00:06","modified_gmt":"2021-05-23T01:00:06","slug":"internal-rate-of-return","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/chapter\/internal-rate-of-return\/","title":{"raw":"Introduction to Advanced Capital Budgeting Tools","rendered":"Introduction to Advanced Capital Budgeting Tools"},"content":{"raw":"<h2>What you will learn to do: Use time value of money to analyze investment options<\/h2>\r\nLet\u2019s take a look at JuxtaPos again, but in this case, management is considering adding a line of puzzles that necessitates a new machine that will cost $230,000 with an estimated useful life of 6 years and a residual value of $40,000.\r\n\r\nEstimated net cash inflows are as follows:\r\n<div align=\"left\">\r\n<table class=\"fin-table acctstatement fw\">\r\n<thead>\r\n<tr class=\"u-sr-only\">\r\n<th scope=\"col\">Description<\/th>\r\n<th scope=\"col\">Amount<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>Year 1<\/td>\r\n<td class=\"r\">$ \u00a0 \u00a0 \u00a0 \u00a0 60,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Year 2<\/td>\r\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 60,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Year 3<\/td>\r\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 55,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Year 4<\/td>\r\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 55,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Year 5<\/td>\r\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 50,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Year 6<\/td>\r\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 65,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td class=\"r line-single line-double\"><span class=\"u-sr-only\">Single Line<\/span>$ \u00a0 \u00a0 \u00a0 &nbsp;345,000<span class=\"u-sr-only\">Double line<\/span><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n\r\nYou have calculated the payback at 4 years:\r\n<div align=\"left\">\r\n<table class=\"fin-table acctstatement fw\">\r\n<thead>\r\n<tr class=\"u-sr-only\">\r\n<th scope=\"col\">Description<\/th>\r\n<th scope=\"col\">Amount<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>Cost of new machine<\/td>\r\n<td class=\"r\">$\u00a0 \u00a0 \u00a0 230,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Recaptured YR 1<\/td>\r\n<td class=\"r\">$ \u00a0 \u00a0&nbsp;(60,000)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Left to recapture<\/td>\r\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 170,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Recaptured YR 2<\/td>\r\n<td class=\"r\">$ \u00a0&nbsp;&nbsp;\u00a0(60,000)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Left to recapture<\/td>\r\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 110,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Recaptured YR 3<\/td>\r\n<td class=\"r\">$ \u00a0 \u00a0&nbsp;(55,000)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Left to recapture<\/td>\r\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 &nbsp;&nbsp;&nbsp;55,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Recaptured YR 4<\/td>\r\n<td class=\"r\">$ \u00a0 \u00a0 (55,000)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Left to recapture<\/td>\r\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 -<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n\r\nAnd the accounting rate of return:\r\n<div align=\"left\">\r\n<table class=\"fin-table acctstatement fw\"><caption>Accounting Rate of Return (ARR)<\/caption>\r\n<thead>\r\n<tr class=\"u-sr-only\">\r\n<th scope=\"col\">Description<\/th>\r\n<th scope=\"col\">Amount<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>Total net cash inflows<\/td>\r\n<td class=\"r\">$\u00a0 \u00a0 \u00a0 345,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Depreciation on machine<\/td>\r\n<td class=\"r\">$\u00a0 \u00a0 \u00a0 190,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Accounting income<\/td>\r\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 155,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Operating life in years<\/td>\r\n<td class=\"r\">6<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Average annual operating income<\/td>\r\n<td class=\"r line-single line-double\"><span class=\"u-sr-only\">Single Line<\/span>$ \u00a0 \u00a0 \u00a0 25,833<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Investment<\/td>\r\n<td class=\"r\">$ \u00a0 \u00a0 &nbsp;230,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Residual value<\/td>\r\n<td class=\"r\">$ \u00a0 \u00a0 \u00a0 40,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Net investment (depreciable value)<\/td>\r\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$ \u00a0 \u00a0 &nbsp;190,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divided by:<\/td>\r\n<td class=\"r\">2<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Average amount invested<\/td>\r\n<td class=\"r line-single line-double\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 \u00a095,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Accounting rate of return<\/td>\r\n<td class=\"r line-double\">27.19%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n\r\nSo far, this project has made it through all of the internal screening processes and is now at the highest levels for approval. Upper management is now asking for a more sophisticated analysis. The CEO and CFO and the capital planning team would like to know the net present value of the project as well as the internal rate of return, along with a profitability index. They have set a hurdle rate of 15% based on the company\u2019s WACC (weighted average cost of capital). Let\u2019s walk through creating this analysis.\r\n\r\nWhen you are done with this section, you will be able to:\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the net present value of a capital project<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the internal rate of return<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the profitability index<\/li>\r\n<\/ul>\r\n<h3>Learning Activities<\/h3>\r\nThe learning activities for this section include the following:\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Reading: Net Present Value<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Self Check: Net Present Value<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Reading: Internal Rate of Return<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Self Check: Internal Rate of Return<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Reading: Profitability Index<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Self Check: Profitability Index<\/li>\r\n<\/ul>","rendered":"<h2>What you will learn to do: Use time value of money to analyze investment options<\/h2>\n<p>Let\u2019s take a look at JuxtaPos again, but in this case, management is considering adding a line of puzzles that necessitates a new machine that will cost $230,000 with an estimated useful life of 6 years and a residual value of $40,000.<\/p>\n<p>Estimated net cash inflows are as follows:<\/p>\n<div style=\"text-align: left;\">\n<table class=\"fin-table acctstatement fw\">\n<thead>\n<tr class=\"u-sr-only\">\n<th scope=\"col\">Description<\/th>\n<th scope=\"col\">Amount<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Year 1<\/td>\n<td class=\"r\">$ \u00a0 \u00a0 \u00a0 \u00a0 60,000<\/td>\n<\/tr>\n<tr>\n<td>Year 2<\/td>\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 60,000<\/td>\n<\/tr>\n<tr>\n<td>Year 3<\/td>\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 55,000<\/td>\n<\/tr>\n<tr>\n<td>Year 4<\/td>\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 55,000<\/td>\n<\/tr>\n<tr>\n<td>Year 5<\/td>\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 50,000<\/td>\n<\/tr>\n<tr>\n<td>Year 6<\/td>\n<td class=\"r\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 65,000<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td class=\"r line-single line-double\"><span class=\"u-sr-only\">Single Line<\/span>$ \u00a0 \u00a0 \u00a0 &nbsp;345,000<span class=\"u-sr-only\">Double line<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<p>You have calculated the payback at 4 years:<\/p>\n<div style=\"text-align: left;\">\n<table class=\"fin-table acctstatement fw\">\n<thead>\n<tr class=\"u-sr-only\">\n<th scope=\"col\">Description<\/th>\n<th scope=\"col\">Amount<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Cost of new machine<\/td>\n<td class=\"r\">$\u00a0 \u00a0 \u00a0 230,000<\/td>\n<\/tr>\n<tr>\n<td>Recaptured YR 1<\/td>\n<td class=\"r\">$ \u00a0 \u00a0&nbsp;(60,000)<\/td>\n<\/tr>\n<tr>\n<td>Left to recapture<\/td>\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 170,000<\/td>\n<\/tr>\n<tr>\n<td>Recaptured YR 2<\/td>\n<td class=\"r\">$ \u00a0&nbsp;&nbsp;\u00a0(60,000)<\/td>\n<\/tr>\n<tr>\n<td>Left to recapture<\/td>\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 110,000<\/td>\n<\/tr>\n<tr>\n<td>Recaptured YR 3<\/td>\n<td class=\"r\">$ \u00a0 \u00a0&nbsp;(55,000)<\/td>\n<\/tr>\n<tr>\n<td>Left to recapture<\/td>\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 &nbsp;&nbsp;&nbsp;55,000<\/td>\n<\/tr>\n<tr>\n<td>Recaptured YR 4<\/td>\n<td class=\"r\">$ \u00a0 \u00a0 (55,000)<\/td>\n<\/tr>\n<tr>\n<td>Left to recapture<\/td>\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 &#8211;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<p>And the accounting rate of return:<\/p>\n<div style=\"text-align: left;\">\n<table class=\"fin-table acctstatement fw\">\n<caption>Accounting Rate of Return (ARR)<\/caption>\n<thead>\n<tr class=\"u-sr-only\">\n<th scope=\"col\">Description<\/th>\n<th scope=\"col\">Amount<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Total net cash inflows<\/td>\n<td class=\"r\">$\u00a0 \u00a0 \u00a0 345,000<\/td>\n<\/tr>\n<tr>\n<td>Depreciation on machine<\/td>\n<td class=\"r\">$\u00a0 \u00a0 \u00a0 190,000<\/td>\n<\/tr>\n<tr>\n<td>Accounting income<\/td>\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 155,000<\/td>\n<\/tr>\n<tr>\n<td>Operating life in years<\/td>\n<td class=\"r\">6<\/td>\n<\/tr>\n<tr>\n<td>Average annual operating income<\/td>\n<td class=\"r line-single line-double\"><span class=\"u-sr-only\">Single Line<\/span>$ \u00a0 \u00a0 \u00a0 25,833<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Investment<\/td>\n<td class=\"r\">$ \u00a0 \u00a0 &nbsp;230,000<\/td>\n<\/tr>\n<tr>\n<td>Residual value<\/td>\n<td class=\"r\">$ \u00a0 \u00a0 \u00a0 40,000<\/td>\n<\/tr>\n<tr>\n<td>Net investment (depreciable value)<\/td>\n<td class=\"r line-single\"><span class=\"u-sr-only\">Single Line<\/span>$ \u00a0 \u00a0 &nbsp;190,000<\/td>\n<\/tr>\n<tr>\n<td>Divided by:<\/td>\n<td class=\"r\">2<\/td>\n<\/tr>\n<tr>\n<td>Average amount invested<\/td>\n<td class=\"r line-single line-double\"><span class=\"u-sr-only\">Single Line<\/span>$\u00a0 \u00a0 \u00a0 \u00a095,000<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Accounting rate of return<\/td>\n<td class=\"r line-double\">27.19%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<p>So far, this project has made it through all of the internal screening processes and is now at the highest levels for approval. Upper management is now asking for a more sophisticated analysis. The CEO and CFO and the capital planning team would like to know the net present value of the project as well as the internal rate of return, along with a profitability index. They have set a hurdle rate of 15% based on the company\u2019s WACC (weighted average cost of capital). Let\u2019s walk through creating this analysis.<\/p>\n<p>When you are done with this section, you will be able to:<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the net present value of a capital project<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the internal rate of return<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Calculate the profitability index<\/li>\n<\/ul>\n<h3>Learning Activities<\/h3>\n<p>The learning activities for this section include the following:<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Reading: Net Present Value<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Self Check: Net Present Value<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Reading: Internal Rate of Return<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Self Check: Internal Rate of Return<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Reading: Profitability Index<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Self Check: Profitability Index<\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-263\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Introduction to Advance Capital Budgeting Tools. <strong>Authored by<\/strong>: Joseph Cooke. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":364389,"menu_order":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Introduction to Advance Capital Budgeting Tools\",\"author\":\"Joseph Cooke\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-263","chapter","type-chapter","status-publish","hentry"],"part":37,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/chapters\/263","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/wp\/v2\/users\/364389"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/chapters\/263\/revisions"}],"predecessor-version":[{"id":1896,"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/chapters\/263\/revisions\/1896"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/parts\/37"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/chapters\/263\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/wp\/v2\/media?parent=263"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/pressbooks\/v2\/chapter-type?post=263"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/wp\/v2\/contributor?post=263"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-clinton-managerialaccounting\/wp-json\/wp\/v2\/license?post=263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}